Atkin-Lehner |
2+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5408a |
Isogeny class |
Conductor |
5408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
308915776 = 26 · 136 |
Discriminant |
Eigenvalues |
2+ 0 2 0 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-169,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-180:1938:125] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
4.2415653785142 |
L(r)(E,1)/r! |
Ω |
1.4544558398797 |
Real period |
R |
5.8325117369877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5408a1 10816bb2 48672bt1 32a2 |
Quadratic twists by: -4 8 -3 13 |